Answer:
60 or 60:1
Step-by-step explanation:
You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.
Answer:
62 degrees
Step-by-step explanation:
129.701 in expanded form:
100 + 20 + 9 + (7 x 1/10) + (1 x 1/1000)
1 is in the hundreds place so 1 x 100 = 100
2 is in the tens place so 2 x 10 = 20
9 is in the ones place so 9 x 1 = 9
7 is in the tenths place so 7 x 1/10 = 0.7
1 is in the thousandths place so 1 x 1/1000 = 0.001
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
If the question is 6x-30, then the answer is 6(x-5)
Have a great day ^_^
